New Phase Transitions of the Ising Model on Cayley Trees

作者：Gandolfo D; Haydarov F H; Rozikov U A; Ruiz J^*

来源：Journal of Statistical Physics, 2013, 153(3): 400-411.

DOI：10.1007/s10955-013-0836-3

• Phase transitions
• Ising model
• Cayley tree
• Gibbs measure
• Free energy
• Boundary condition

We show that the nearest neighbor Ising model on the Cayley tree exhibits new temperature-driven phase transitions. These transitions occur at various inverse temperatures different from the critical one. They are characterised by a change in the number of Gibbs states as well as by a drastic change of the behavior of free energies at these new transition points. %26lt;br%26gt;We also consider the model in the presence of an external field and compute the free energies of translation invariant and some alternating boundary conditions.

• 出版日期2013-11